Harnessing the magneto-optics in quantum wires for observing the quantum pinch effect

Here, we report on a two-component,
cylindrical, quasi-one-dimensional quantum plasma subjected to a radial confining harmonic
potential and an applied magnetic field in the symmetric gauge. It is demonstrated that such a
system as can be realized in semiconducting quantum wires offers an excellent medium for observing
the quantum pinch effect at low temperatures. An exact analytical solution of the problem allows
us to make significant observations: surprisingly, in contrast to the classical pinch effect, the
particle density as well as the current density display a determinable maximum before
attaining a minimum at the surface of the quantum wire. The effect will persist as long as the
equilibrium pair density is sustained. Therefore, the technological promise that emerges is the
route to the precise electronic devices that will control the particle beams at the nanoscale¹. 1. M.S.
Kushwaha, Appl. Phys. Lett. 103, 173116 (2013).